Question

Assume that f is continuous on [-4,4] and differentiable on (-4,4). The table gives some values of f'(x)
x: -4, -3, -2, -1, 0, 1, 2, 3, 4
f'(x): 74, 39, 10, -6, -14, -12, 0, 22, 55
a) estimate where f is increasing, decreasing, and has local extrema.
b) Find the quadratic regression equation for the data in the table.
c) Use the model in (b) for f' and find the formula for f that satisfies f(0)=0